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Finding the Fourth Proportional to 971.94, 1,340.70 and 578.88

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Solution

The fourth proportional to 971.94, 1,340.70 and 578.88 is: 798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.94 : 1,340.70 = 578.88 : x
  2. Step 2: Convert to fraction form
    971.94/1,340.70 = 578.88/x
  3. Step 3: Cross multiply
    971.94x = 1,340.70 × 578.88
  4. Step 4: Simplify right side
    971.94x = 776,104.42
  5. Step 5: Solve for x
    x = 776,104.42/971.94
  6. Step 6: Final answer
    x = 798.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.